Question

A rocket initially at rest on the ground lifts off vertically with a constant acceleration of 20.0 m/s^2. How long will it take the rocket to reach an altitude of 3000 meters?

a) 300 s
b) 74.6 s
c) 24.75 s
d) 17.3 s

Answer 1

The rocket will take 17.3 seconds to reach an altitude of 3000 meters.

Step-by-step explanation:

To find the time it takes for the rocket to reach an altitude of 3000 meters, we can use the equation:

d = (1/2) * a * t^2

Where d is the distance, a is the acceleration, and t is the time. Rearranging the equation, we get:

t = sqrt(2 * d / a)

Substituting the given values, we have:

t = sqrt(2 * 3000 / 20) = sqrt(300) = 17.3 s

Therefore, the rocket will take 17.3 seconds to reach an altitude of 3000 meters.